Question

Two supplementary angles differ by 50°, Find measure of greatest angle between them ?


(a) 65°

(b) 85°

(c) 130°

(d) 115°​

Answer 1

Answer:

Option D 115

Step-by-step explanation:

Supplementary angles will be equal to 180

Now

Let the unknown angles be x

X + X - 50 = 180

X+X = 180 + 50

2x = 230

X = 115

Other angle = 115 - 50 = 65

Greatest angle = 115 which is option D

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Answer 2

Answer:

Let a & b be two supplymentory angle then

we know that

a+b=180°...(1)

a−b=150°...(given)

=>2a=230

b=180−115

∴[∠a =115°] [∠b=65°]